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GCSE GM7

Edit 0 2 …
GCSE Scheme of Work Foundation skillsfor first teaching 2007-2009

Topic reference:
 S6
 Topic title:
 Trigonometry & Pythagoras



PoS
 NC level description
7a
 C
 Calculate the length of a missing side of a right angled triangle using Pythagoras
7b
 Understand, recall & use Pythagoras’ theorem when solving problems in 2 Dimensions.
7c
6a
 D

6b
6c
5a
 E
 When constructing models and drawing and using shapes, pupils measure and draw angles to the nearest degree and use language associated with angles
5b
5c
4a
 F
 Pupils use a range of mental methods of computation with the four operations, including mental recall of facts up to 10 x 10.
4b
4c
3a
 G

3b
3c



GCSE Scheme of Work Higher skillsfor first teaching 2007-2009

Topic reference:
 S6
 Topic title:
 Trigonometry & Pythagoras



PoS
 NC level description
10a
 A*
 Use the cosine rule to find a missing side or angle
  • Use the cosine rule to solve 2D problems
  • Use the cosine rule to solve 3D problems

Use the sine rule to find a missing side or angle
  • Use the sine rule to solve 2D problems
  • Use the sine rule to solve 3D problems
10b
 Solve a problem involving surds in Pythagoras and trigonometry
10c
 Solve a problem involving Pythagoras and
trigonometry in 3D
  • Understand, recall & use Pythagoras’ theorem in 3D problems
  • Use trigonometrical relationships in right angled triangles to solve problems in 3D
9a
 A
 Calculate the area of a triangle using Sin C
  • Calculate the area of a triangle using
½ ab Sin C
9b
 Sketch & find the solutions to a trigonometric curve

  • Draw, sketch & describe the graphs of trigonometric functions for angles of any size
9c
8a
 B
 Calculate a missing angle or side in a right angled triangle using trigonometry

Solve a problem involving an angle of elevation or depression using trigonometry
8b
 Solve a problem involving Pythagoras & trigonometry
8c
 Apply Pythagoras to a complicated question
7a
 C
 Calculate the length of a missing side of a right angled triangle using Pythagoras
7b
 Understand, recall & use Pythagoras’ theorem when solving problems in 2 Dimensions.
7c
6a
 D

6b
6c
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